The effects of impulsive toxicant input on a single-species population in a small polluted environment

The effects of impulsive toxicant input on a single-species population in a small polluted environment
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小污染环境下冲动性毒物输入对单一物种种群的影响

DOI:
10.3934/mbe.2019413
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发表时间:
2019
影响因子:
2.6
通讯作者:
Yajing Xu
Yajing Xu
中科院分区:
工程技术4区
文献类型:
--
作者:
Dongmei Li;Tana Guo;Yajing Xu

文献摘要

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本文研究了小污染环境中脉冲输入毒物的单种群模型。种群内禀变化率受环境毒素负荷和生物体内毒素的影响,而生物体内毒素又受环境毒素和食物链毒素的影响。建立了一个新的数学模型。利用脉冲比较定理,找到了种群的生存阈值,得到了种群持续生存和灭绝的充分条件。
In this paper, we study a single-species population model with pulse toxicant input in a.small polluted environment. The intrinsic rate of population change is aected by the environmental.toxin load and toxin in the organisms which is influenced by toxin in the environment and the food.chain. A new mathematical model is established. By the Pulse Compare Theorem, we find the.surviving threshold of the population and obtain the sucient conditions of persistence and extinction.of the population.